The Wheel Shop sells other kinds of vehicles. There are bicycles and go-carts in a different room of the shop. Each bicycle has only one sea

Question

The Wheel Shop sells other kinds of vehicles. There are bicycles and go-carts in a different room of the shop. Each bicycle has only one seat and each go-cart has only one seat. There are a total of 21 seats and 54 wheels in that room. How many are bicycles and how many are go-carts? Explain how you figured it out.

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Nick 4 years 2021-08-29T00:27:53+00:00 1 Answers 6 views 0

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  1. Euphemia
    0
    2021-08-29T00:29:41+00:00
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    Answer:

    15 bicycle and 6 go-cart.

    Step-by-step explanation:

    Given that,  

    There are a total of 21 seat and 54 wheels in the room.  

    Assume there are x number of bicycle.  

    Since, each bicycle has only one seat and each go-cart has only one seat.  

    Then, the number of go-cart is (21-x)

    There are two wheels in a bicycle.

    Total number of wheel in x number of bicycle is = (2.x)=2x  

    There are four wheels in a go-cart.  

    Total number of wheel in (21-x) number of go-cart =4(21-x)  

    According to the problem,  

    2x+4(21-x)=54  

    ⇒2x+84-4x=54  

    ⇒2x-4x=54-84  

    ⇒ -2x=  -30  

    \Rightarrow x=\frac{-30}{-2}

    ⇒x = 15  

    Hence, there are 15 bicycle and (21- 15)=6 go-cart

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